What is the best way to get it used to the climate?
You have to start from giving it sunlight for half an hour for first day,and increase 15-20 minutes everyday,it will be used to your conditions maybe after 15-20 days.
After that you can keep it outside whole day.
I plan on collecting rain water but where can I get distilled water if I need it? Can I buy it?
First check TDS of tap water if it is below 50(-5,+5 will be fine)ppm then you can use it.You can check for distilled water in supermarket(I dont have any idea),Rainwater will be the best.
When's the right time to repot it?
There is no need to repot if it is tall pot 15+ cm for young plants.
Venus flytraps need tall pots because of their roots,you should have no concern about length and breadth.
Do I need to feed it (I saw a guy feeding his rehydrated bloodworms) I know they photosynthesise but I know they eat things for nitrogen so do they have to eat things?
If you keep it outside it will feed itself,if you keep it inside,you can feed it but dont feed more than 2-3 times a month,rehydrated bloodworms will be the best.
Dont feed bigger than the trap size,approximately half the size will be enough.
It's easy to grow Carnivorous plants if you don't stress them by unwanted excessive care
My grow list:
http://www.flytrapcare.com/phpBB3/jds-s ... 28476.html